Resolver 10*9*8*7*6*5div120-8*7*6*5div24

$$10 \times 9 \times 8 \times 7 \times 6 \times 5 \div 120-8 \times 7 \times 6 \times 5 \div 24$$

Calcular

$$1190$$

Pasos da solución

Multiplica 10 e 9 para obter 90.

$$\frac{90\times 8\times 7\times 6\times 5}{120}-\frac{8\times 7\times 6\times 5}{24}$$

Multiplica 90 e 8 para obter 720.

$$\frac{720\times 7\times 6\times 5}{120}-\frac{8\times 7\times 6\times 5}{24}$$

Multiplica 720 e 7 para obter 5040.

$$\frac{5040\times 6\times 5}{120}-\frac{8\times 7\times 6\times 5}{24}$$

Multiplica 5040 e 6 para obter 30240.

$$\frac{30240\times 5}{120}-\frac{8\times 7\times 6\times 5}{24}$$

Multiplica 30240 e 5 para obter 151200.

$$\frac{151200}{120}-\frac{8\times 7\times 6\times 5}{24}$$

Divide 151200 entre 120 para obter 1260.

$$1260-\frac{8\times 7\times 6\times 5}{24}$$

Multiplica 8 e 7 para obter 56.

$$1260-\frac{56\times 6\times 5}{24}$$

Multiplica 56 e 6 para obter 336.

$$1260-\frac{336\times 5}{24}$$

Multiplica 336 e 5 para obter 1680.

$$1260-\frac{1680}{24}$$

Divide 1680 entre 24 para obter 70.

$$1260-70$$

Resta 70 de 1260 para obter 1190.

$$1190$$

Factorizar

$$2\times 5\times 7\times 17$$